College Mathematics Fundamentals (I) - Calculus of Univariate Functions

Author: None
Publisher:
Publish Date: 2004-07-01
Features: The main features are as follows: (1) While basically maintaining the traditional classic content, it pays attention to integrating modern mathematical ideas, concepts, and methods, providing a "window" and "interface" for modern mathematics to a moderate extent. (2) It focuses on the overall optimization of teaching content and system, making significant adjustments to the original arrangement. (3) It emphasizes the teaching of mathematical thinking and methods, appropriately downplaying operational skills, and focuses on cultivating students' ability to apply mathematical knowledge to solve problems. (4) It emphasizes the application of mathematical knowledge and the combination of mathematical teaching with computer applications. Through mathematical experiments and applied examples in each chapter, it cultivates students' ability to solve practical problems by establishing mathematical models and applying mathematical software. (5) It is clear in reasoning, has a complete system structure, and is rich in examples and exercises. This book can be selected for use in science and engineering non-mathematics majors at general universities and colleges, as well as for similar majors at other institutions. This book is a part of the National "Fifteenth Five-Year" Plan Textbook for General Higher Education, "Fundamentals of University Mathematics," and mainly introduces the basic knowledge of calculus for single-variable functions, including: functions, limits, and continuity, differential calculus of single-variable functions, integral calculus of single-variable functions, and ordinary differential equations, with four chapters. The last three chapters include applied examples and mathematical experiments, and the end of the book provides answers to exercises. Based on the "Basic Requirements for the Teaching of Higher Mathematics Courses in Engineering Colleges" promulgated by the former State Education Commission and the requirements of new-century science and technology talents for mathematical quality, the textbook has made significant adjustments to the content and system of traditional higher mathematics textbooks by absorbing the strengths of excellent domestic and international textbooks.